Question

Test whether the following equations have non-zero solution x + y - 3z = 0, 3x - y - z=0, 2x + y - 4z = 0 if exists obtain the solutions​

Answer 1

Answer:

I am not sure about this question so I can not give you perfect answer

Answer 2

Answer:

Step-by-step explanation:

Ax=0

⎡⎣⎢2133−21123⎤⎦⎥⎡⎣⎢xyz⎤⎦⎥=⎡⎣⎢000⎤⎦⎥

|A|=⎡⎣⎢2133−21−1−23⎤⎦⎥

=2(−3+2)−3(3+6)−1(1+3)

=−2−27−4

=−33≠0

if|A|≠0is homogeneous system of equation

then these are only triaxial equation

x=y=z=0